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Finding the Third Proportional to 403,774 and 626,963

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Solution

The third proportional to 403,774 and 626,963 is: 973,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,774 : 626,963 = 626,963 : x
  2. Step 2: Convert to fraction form
    403,774/626,963 = 626,963/x
  3. Step 3: Cross multiply
    403,774x = 626,963 × 626,963
  4. Step 4: Simplify right side
    403,774x = 393,082,603,369
  5. Step 5: Solve for x
    x = 393,082,603,369/403,774
  6. Step 6: Final answer
    x = 973,521.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.